Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
권호 표지

Statistical Design of CV Control Charts witn Approximate Distribution

근사분포를 이용한 CV 관리도의 통계적 설계

  • 이만식 (한양대학교 산업공학과) ;
  • 강창욱 (한양대학교 정보경영공학과) ;
  • 심성보 (한양대학교 산업공학과)
  • Published : 2004.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

The coefficient of variation(CV) which is a relatively dimensionless measure of variability is widely used to describe the variation of sample data. However, the properties of CV distribution are little available and few research has been done on estimation and interpretation of CV. In this paper, we give an outline of statistical properties of coefficient of variation and design of control chart based on this statistic. Construction procedures of control chart are presented. The proposed control chart is an efficient method to monitor a process variation for short production run situation. Futhermore, we evaluated the performance of CV control chart by average run length(ARL).

Keywords

References

  1. Wong, A. C. M. and J. Wu.; 'Small sample Asymptotic Inference for the Coefficient of Variation: Normal and Nonnormal Models,' Journal of Statistical Planning and Inference, 104: 73-82, 2002
  2. Montgomery, D. C.; Introduction to Statistical Quality Control, 4th Edition, John Wiley & Sons, New York, 2001
  3. Hines, W. W. and Montgomery, D. C.; Probability and Statistics in Engineering and Management Science, 3rd Edition., John Willey & Sons, New York, 1990
  4. Iglewigz, B. and Myers, R. H.; Comparisons of Approximations to the Percentage Points of the Sample Coefficient of Variation,' Technometrics, 12(1): 166-169, 1970
  5. Nelson, L. S.; 'Some Notes on Variation,' Journal of Quality Technology, 31(4): 459-462, 1999
  6. Mark G. V.; 'Confidence Intervals for a Normal Coefficient of Variation,' The American Statistician, 15(1): 21-26, 1996
  7. McKay, A. T. and M. Sc,; 'Distribution of the Coefficient of Variation and the Extended t Distribution,' Journal of the Royal Statistical Society, XCIV, Part Ⅳ, 1931
  8. Xie, M., Goh, T. N., and Ranjan, P.; 'Some effective control chart procedures for reliability monitoring,' Reliability Engineering and System Safety, 77: 143-150, 2002